What is the Least Common Multiple of 82944 and 82961?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 82944 and 82961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82944 and 82961, than apply into the LCM equation.

GCF(82944,82961) = 1
LCM(82944,82961) = ( 82944 × 82961) / 1
LCM(82944,82961) = 6881117184 / 1
LCM(82944,82961) = 6881117184

Least Common Multiple (LCM) of 82944 and 82961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82944 and 82961. First we will calculate the prime factors of 82944 and 82961.

Prime Factorization of 82944

Prime Factorization of 82961

Now multiplying the highest exponent prime factors to calculate the LCM of 82944 and 82961.

LCM(82944,82961) = 2¹⁰ × 3⁴ × 23¹ × 3607¹
LCM(82944,82961) = 6881117184